Which sequence correctly describes the transformations applied to the graph of $y = x^2$ to obtain the graph of $f(x) = -3(x - 4)^2 + 6$?

Shift right 4, up 6, then stretch by 3 and reflect over the x-axis.

Stretch by 3, reflect over the x-axis, shift left 4, then shift up 6.

Stretch by 3 and reflect over the x-axis, shift right 4, then shift up 6.

Stretch by 3, shift right 4, shift down 6, then reflect over the x-axis.

A function is created by transforming $y = x^2$. The transformations are: a vertical stretch by 4, a horizontal shift 2 units right, and a vertical shift 9 units down. Which function represents these transformations?

$f(x) = \frac{1}{4}(x - 2)^2 - 9$

A horizontal shift 5 units to the right.

A horizontal shift 5 units to the left.

A vertical stretch by a factor of 5.